Consider the line L containg the points (-3,8)and (6,-4) what is the length of the hypotenuse of the right triangle formed b the intersection of L and the x and Y axes

Oct 26th 2006, 07:36 PM

Soroban

Hello, Dragon!

Did you make a sketch?

Quote:

Consider the line $\displaystyle L$ containg the points (-3,8)and (6,-4).
What is the length of the hypotenuse of the right triangle
formed by the intersection of $\displaystyle L$ and the $\displaystyle x$- and $\displaystyle y$-axes?

Game plan
The line $\displaystyle L$ contains the points (-3,8) and (6,-4).. . We want the equation of that line.
Then we want its x-intercept $\displaystyle P$ and y-intercept $\displaystyle Q$.. . Then we want the distance $\displaystyle \overline{PQ}$.